64 729
If the ratio of side lengths is 49 (that is 49 to 1) then the ratio of their volumes is 493 to 1, which is 117,649 to 1.
4 to 1.
Notice the exponents in these two statements.Those little tiny numbers tell the whole big story:(the ratio of the surface areas of similar figures) = (the ratio of their linear dimensions)2(the ratio of the volumes of similar solids) = (the ratio of their linear dimensions)3
No, the ratio of the volumes of two similar solid polyhedra is equal to the cube of the ratio between their edges. The volume of a solid object is proportional to the cube of its linear dimensions, not the square root.
64 729
64:729
A.9:36
125:216
If the ratio of side lengths is 49 (that is 49 to 1) then the ratio of their volumes is 493 to 1, which is 117,649 to 1.
4 to 1.
If the ratio is 2 : 7 then the volumes are in the ratio 8 : 343.
The ratio of their volumes is 23^3 = 12167.
Notice the exponents in these two statements.Those little tiny numbers tell the whole big story:(the ratio of the surface areas of similar figures) = (the ratio of their linear dimensions)2(the ratio of the volumes of similar solids) = (the ratio of their linear dimensions)3
The corresponding sides of similar solids have a constant ratio.
The ratio is 57 cubed. This answer does not depend on the fact that you are comparing two similar pyramids; it works the same for two cubes, two spheres, etc. - in general, for any two similar 3D objects.
True